GCF of 5000/687, 7727/916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5000/687, 7727/916 i.e 1/2748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5000/687, 7727/916.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5000/687,7727/916?
Given fractions are 5000/687,7727/916
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5000/687,7727/916, numerators are 5000,7727
Denominators are 687,916
The GCF of 5000,7727 is 1 .
LCM of 687,916 is 2748.
The greatest common factor of 5000/687,7727/916 = [GCF of 5000,7727]/[LCM of 687,916]= 1/2748
Therefore, the GCF of 5000/687,7727/916 is 1/2748.
To find the highest common factor of 5000,7727, we have to find the factors of both numbers and list the highest common factor.
The factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000
The factors of 7727 are 1, 7727
The HCF of 5000,7727 is 1.
Lets's calculate GCF of 5000,7727
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5000,7727 By Matching Biggest Common Factor Method
Now, list down the factors of 5000
:1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,625,1000,1250,2500,5000
Now, list down the factors of 7727
:1,7727
Greatest Common Factor
We found the factors 5000,7727 . The biggest common factor number is the GCF number.
So the greatest common factor 5000,7727 is 1.
Lets's calculate LCM of 687,916
| 229 | 687, 916 |
| 3, 4 |
∴ So the LCM of the given numbers is 229 x 3 x 4 = 2748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2748
Therefore, the GCF of Fractions 5000/687,7727/916 is 1/2748
Least Common Multiple of 687,916 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 687,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,916) = 229
common factors(in case of two or more numbers have common factors) = 1
GCF(687,916) x common factors =229 x 1 = 229
LCM(687,916) = ( 687 × 916 ) / 229
LCM(687,916) = 629292 / 229
LCM(687,916) = 2748
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FAQs on GCF of Fractions of 5000/687, 7727/916
1. What is the HCF of 5000,7727?
The HCF of 5000,7727 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 5000/687, 7727/916?
Answer: GCF of Numerators as per given numbers 5000/687, 7727/916 is
GCF of Numerators i.e. for 5000,7727 is 1
LCM of denominators i.e. for 687,916 is 2748.
Thus, GCF of Fractions is 1/2748.Finally, GCF of Fractions for 5000/687, 7727/916 is 1/2748.